Preparing for College Calculus for AP Calc Students

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Discussion Overview

The discussion revolves around resources for reviewing calculus concepts in preparation for college, specifically targeting students who have previously taken AP Calculus but have not engaged with the material for some time. The focus includes both single-variable and multivariable calculus, as well as supplementary physics resources.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks recommendations for websites to review calculus concepts before starting college.
  • Another participant shares a specific website that helped them with Calc I, suggesting it as a resource for others.
  • Multiple participants provide various links to calculus review sites, including those for both single-variable and multivariable calculus.
  • Some participants mention the importance of distinguishing between single-variable and multivariable calculus resources, as different schools may have different course structures.
  • Several participants recommend video lectures and online courses, including those from MIT and Khan Academy, as valuable resources for review.
  • One participant suggests looking into free online calculus textbooks as an additional resource.
  • Another participant emphasizes the usefulness of worked examples for understanding calculus concepts.
  • Some participants express uncertainty about the effectiveness of Wikipedia as a resource, suggesting it should be approached with caution.

Areas of Agreement / Disagreement

Participants generally agree on the availability of various online resources for calculus review, but there is no consensus on which specific resource is the best or most effective. The discussion remains open to multiple viewpoints and suggestions.

Contextual Notes

Some participants note the potential differences in calculus course structures across institutions, which may affect the relevance of certain resources. There is also mention of the need for physics review resources, but specific recommendations for physics are not provided in detail.

Who May Find This Useful

Students preparing for college calculus, particularly those who have taken AP Calculus and are looking to refresh their knowledge. Educators or tutors seeking resources for their students may also find this discussion beneficial.

CharmedQuark
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I'm beginning my undergrad education this fall. I took AP Calculus in my junior year of high school. My school didn't offer any math after AP Calc and so I haven't done any calc for over a year. Does anyone know any good websites where I can go to review calculus concepts before I start college?
 
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Thanks, that is exactly the kind of site I was looking for.
 
Any good calculus review sites?

(Moderator's note: the following 3 posts have been merged from a separate thread -- Redbelly98)

I'm going back to school and I need to know some websites that could give me a good review of calculus 1 and calculus 2. I haven't seen the stuff in two years. I could also use a physics review website too. :rolleyes:
 
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Yes, there are plenty. I don't know if you want single variable calculus resources only or if you also want multivariate calculus resources (in some schools calculus is 2 semesters long, so calc 1 is single variable and cacl 2 is multi/vector; whereas in some schools calculus is taught over 3 semesters), so I will list both.

If you want only notes (which might be most time efficient for review purposes), see the sites below.

Karl's Calculus Tutor: http://www.karlscalculus.org/calculus.html

Paul's Online Math Notes: http://tutorial.math.lamar.edu/

Now, if you are also interested in lectures for the purposes of review, please see the following sites.

Midnight Tutors: http://www.midnighttutor.com/index.php or http://www.youtube.com/user/midnighttutor

MIT OCW Single Variable Calculus: http://ocw.mit.edu/OcwWeb/Mathematics/18-01Fall-2006/VideoLectures/index.htm or http://www.youtube.com/view_play_list?p=4C4C8A7D06566F38

MIT OCW Multivariable Calculus: http://ocw.mit.edu/OcwWeb/Mathematics/18-02Fall-2007/VideoLectures/index.htm or http://www.youtube.com/view_play_list?p=4C4C8A7D06566F3

Princeton Videos Lectures By Adrian Banner: http://press.princeton.edu/video/banner/

Math TV: http://www.mathtv.com/

Tutorials For The Calculus Phobe: http://www.calculus-help.com/funstuff/phobe.html

As for physics, you ought to ask for that in the appropriate section.
 
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If you are looking for some worked examples, This site helped me when I first started off:

http://justmathtutoring.com/page11.html

Although If you keep your head up and work hard you should be fine.
 
Google the basic rules of integrals.

This really helped me to understand basically how we derive calculus differential or integral.

How can you define the volume of a sphere without actually specifying a radius?

http://en.wikipedia.org/wiki/Integral

Wiki pinch of salt but generally the pure maths is ok.
 
  • #11
The Khanacademy is a pretty good place for refreshing on Calculus. You can also look into MIT OCW for some advance stuff.

khanacademy.org
ocw.mit.edu
 

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